Question 1014091
.
In a circle of radius 5 cm, a sector has a central angle 2 rad.
a. Find the arc length subtended by the angle 2 rad.
b Find the area of the sector.
-----------------------------------------------------------


<pre>
a. Arc length is  L = {{{r*alpha}}} = 2*5 cm = 10 cm,

   where {{{alpha}}} is the central angle measure in radians.

b. The area of the sector is  S = {{{(r^2*alpha)/2}}} = {{{(25*2)/2}}} = 25 {{{cm^2}}}.


   See the lesson <A HREF=http://www.algebra.com/algebra/homework/Surface-area/Area-of-a-sector.lesson>Area of a sector</A> in this site.
</pre>